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Cette thèse est une contribution à la construction de l’Approche Locale de la rupture à l’échelle microscopique à l’aide de la modélisation d’agrégats polycristallins. Elle consiste à prendre en compte la variabilité spatiale de la microstructure du matériau. Pour ce faire, la modélisation micromécanique du matériau est réalisée par la simulation d’agrégats polycristallins par éléments finis. Les champs aléatoires de contrainte (principale maximale et de clivage) dans le matériau qui représentent la variabilité spatiale de la microstructure sont ensuite modélisés par un champ aléatoire gaussien stationnaire ergodique. Les propriétés de variabilité spatiale de ces champs sont identifiés par une méthode d’identification, e.g. méthode du périodogramme, méthode du variogramme, méthode du maximum de vraisemblance. Des réalisations synthétiques des champs de contraintes sont ensuite simulées par une méthode de simulation, e.g. méthode Karhunen-Loève discrète, méthode “Circulant Embedding”, méthode spectrale, sans nouveau calcul aux éléments finis. Enfin, le modèle d’Approche Locale de la rupture par simulation de champ de contrainte de clivage permettant d’y intégrer les réalisations simulées du champ est construit pour estimer la probabilité de rupture du matériau. / This thesis is a contribution to the construction of the Local Approach to fracture at the microscopic scale using polycrystalline aggregate modeling. It consists in taking into account the spatial variability of the microstructure of the material. To do this, the micromechanical modeling is carried out by finite element analysis of polycrystalline aggregates. The random stress fields (maximum principal et cleavage stress) in the material representing the spatial variability of the microstructure are then modeled by a stationary ergodic Gaussian random field. The properties of the spatial variability of these fields are identified by an identification method, e.g. periodogram method, variogram method, maximum likelihood method. The synthetic realizations of the stress fields are then simulated by a simulation method, e.g. discrete Karhunen-Loève method, circulant embedding method, spectral method, without additional finite element calculations. Finally, a Local Approach to fracture by simulation of the cleavage stress field using the simulated realizations is constructed to estimate the rupture probability of the material.

Ferroelectric materials, especially the polycrystalline ceramics, are very promising material for a variety of applications such as high permittivity dielectrics, ferroelectric memories, piezoelectric sensors, piezoelectric/electrostrictive transducers, electrooptic devices and PTC thermistors. Among the ferroelectric based piezoelectric ceramics the lead–zirconate-titanate Pb(Zr1-xTix)O3 (PZT) have dominated transducer and actuator market due to its excellent piezoelectric and dielectric properties, high electromechanical coupling, large piezoelectric anisotropy, ease of processing and low cost. However, the toxicity of lead based compounds has raised serious environmental concerns and therefore has compelled the researchers to look for new lead free alternatives with good piezoelectric and ferroelectric properties. (Na0.5Bi0.5)TiO3 (NBT) and its solid solution is one of the leading lead free piezoceramic ceramics due to their interesting ferroelectric, piezoelectric, electromechanical and dielectric property. The parent compound NBT is a ferroelectric with a moderately high Curie temperature (~250 oC), large ferroelectric polarization (~40µC/cm2) polarization, promising piezoelectric properties with 0.08% strain and longitudinal piezoelectric coefficient (d33) ~ 80 pC/N. X-ray and neutron diffraction studies in the past have shown that NBT exhibits rhombohedral (R3c) at room temperature. Neutron diffraction studies have suggested that NBT undergo a gradual rhombohedral to tetragonal (P4bm) transformation in a temperature region 200-320 ºC. Though the structure and phase transition behavior of NBT has been extensively investigated for over six decades now, this subject has again become debatable in recent few years, with some group reporting formation of orthorhombic phase above room temperature and another group suggesting monoclinic distortion at room temperature using high resolution x-ray diffraction technique. Interestingly the intermediate orthorhombic instability, reported by electron diffraction studies, has never been captured by neutron diffraction method though neutron diffraction is an equally powerful tool for studying (oxygen) octahedral tilts in perovskites. Needless to mention, the understanding of the subtle structural distortions have great significance with regard to the determination of the structure-piezoelectric property correlations in NBT based piezoceramics. The present thesis deals with such subtle structural issues in great detail. The systems investigated in the thesis are Ca and Ba modified NBT. While the Ca modified system was chosen to understand the subtle orthorhombic instability that has been reported above room temperature (only) by detailed electron diffraction work, Ba-modified NBT is the most investigated among the NBT-derived piezoelectric material systems and this thesis attempts to address some of the very complex nature of the structure-piezoelectric property correlation of this system. The first chapter of the thesis provides a brief introduction to the field of ferroelectrics, perovskite structure and their phase transition. A brief exposure to the conventional lead based relaxor ferroelectric and piezoelectric material is provided. A detailed overview of the existing knowledge related to room temperature structure of NBT and its phase transition studies with temperature has been discussed in the later part of this chapter. The second chapter includes various the experimental techniques that have been employed to synthesis and characterize the specimens under investigation. The third chapter deals with the phase transition behaviour of Ca modified NBT as a function of composition and temperature in the dilute concentration region. This work was carried out with the view to obtain a better understanding and compliment the intrinsic high temperature orthorhombic instability in NBT reported by electron diffraction technique. Interestingly, inspite of the fact that neutron diffraction method is a very sensitive tool for investigating subtle change in the nature of octahedral tilt in oxide perovskites, the intermediate orthorhombic distortion proposed by the electron diffraction studies has so far never been captured in any of the neutron diffraction studies. In this work we have verified the genuineness of the intrinsic instability with regard to the non-polar orthorhombic structure using neutron powder diffraction by adopting a special strategy which helped in capturing the characteristic signatures (the superlattice reflections) of the orthorhombic phase in the neutron powder diffraction patterns. It was found that small fraction of Ca-substitution (8-10 mol %) was good enough to amplify the magnitude of the orthorhombic (Pbnm) distortion, without altering the sequence of the structural evolution with temperature of the parent compound (NBT) itself, and stabilizing it at the global length scale at lower temperatures than pure NBT. This chapter presents the innovative approach that was used to extract reliable information about the very complex phase transition behaviour, involving coexistence of the various similar looking but crystallographically different phases in different temperature regimes by Rietveld analysis of temperature dependent neutron powder diffraction pattern in conjunction with temperature dependent dielectric and ferroelectric characterization of the specimens. The detailed study revealed the following sequence of structural evolution with temperature: Cc+Pbnm →Pbnm + P4/mbm → P4/mbm →Pm3 m. The fourth chapter gives a detail account of the structure-property correlations and the phase transition behaviour of (1-x)(Na0.5Bi0.5)TiO3 – (x)BaTiO3 (0≤x≤0.10), the most important solid solution series with NBT as reported in the literature. The phase transformation behaviour of this system has been investigated as a function of composition (0<x≤0.10), temperature, electric field and mechanical-impact by Raman scattering, ferroelectric, piezoelectric measurements, x-ray and neutron powder diffraction methods. The structure of the morphotropic phase boundary (MPB) compositions of this system, which is interesting from the piezoelectric property point of view, has been under controversy for long. While some groups report the structure to be pseudocubic, other groups suggest it to be combination of rhombohedral and tetragonal. A perusal of the literature suggests that the reported nature and composition range of MPB is dependent on the method of synthesis and characterization technique used. In the present study, crystal structure of the NBT-BT solid solution has been investigated at the close interval near the MPB (0.05≤x≤0.10). Though x-ray diffraction study revealed three distinct composition ranges characterizing different structural features in the equilibrium state at room temperature: (i) monoclinic (Cc) + rhombohedral (R3c) for 0≤x≤0.05, (ii) “cubic-like” for 0.06≤x≤0.0675 and (iii) MPB like for 0.07≤x<0.10, Raman and neutron powder diffraction studies revealed identical symmetry for the cubic like and the MPB compositions. Both the cubic like compositions and the MPB compositions exhibit comparatively large d33. In the later part of this chapter this apparent contradiction is resolved by the fact that the cubic like structure transforms irreversibly to MPB after electric poling, a procedure which involves applying high dc electric field (well above the coercive field) to the pellet before carrying out the piezoelectric measurements. The effect of electrical field and mechanical impact has been studied for all the three different composition range, and it was found that electric field and mechanical impact both led to irreversible phase transformation in the same direction, though the transformation with mechanical impact remains incomplete in comparison to electric field. The most pronounced effect was observed for the cubic like compositions 0.06≤x≤0.0675 – they undergo phase separation to rhombohedral and tetragonal phases by electrical and mechanical perturbations. In the non-perturbed state the cubic-like critical compositions mimics features of relaxor ferroelectrics and extremely short coherence length (~ 40-50 Å) of the out-of-phase octahedral tilts. In the poled state this coherence length grows considerably and the system behaves like a normal ferroelectric. This confirmed a strong coupling between the lattice, octahedral tilts and polarization degrees of freedom. Neutron diffraction study of compositions exhibiting cubic-like and the MPB like revealed that the traditional P4bm tetragonal structure model fails to account for the intensity of the superlattice reflections. Thus the tetragonal structure stabilized above room temperature in pure NBT is different from the tetragonal phase observed at room temperature in the NBT-BT system. The results of the effect of mechanical impact and electric field has also been reported in this chapter for the critical composition exhibiting MPB (x=0.07). A detailed structural analysis of the precritical compositions, x≤0.05, revealed coexistence of ferroelectric phases (Cc+R3c) in equilibrium state (annealed specimens). This transforms to single phase (R3c) state after poling. Thus though the precritical (x≤0.05) and critical compositions (0.06≤x<0.10) of NBT-BT exhibits coexistence of ferroelectric phases in the equilibrium state, the fact that the electric poling makes the specimen single phase, R3c, after poling for the precritical compositions and retains the two phase nature of the critical compositions makes the critical compositions exhibit considerably higher piezoelectric response than the precritical compositions. Chapter five is dedicated to phase transition behaviour of the post critical compositions of (1-x)(Na0.5Bi0.5)TiO3–(x)BaTiO3 (0.16≤x≤1) using temperature dependent XRD, dielectric and ferroelectric studies. Though structurally the entire composition range is tetragonal, several notable features were revealed during detailed examination of the structural and dielectric behaviour. This study is also important from the view point that pure BT is a major component of multilayer ceramic capacitors and that an increase in the Curie point would be a welcome step for better temperature stability of the device. NBT does this. The transition temperature increases from 120 ºC for pure BT to 275 ºC for x=0.30 along with simultaneous increase in c/a ratio from 1.009 (pure BT) to 1.02 (x=0.30). Detailed analysis of temperature and frequency dependent dielectric data revealed deviation from Curie-Weiss and suggests a gradual transformation to relaxor-ferroelectric state as the NBT concentration increases in BT. The measure of frequency dispersion ‘γ’ parameter was determined from modified Curie-Weiss law for various compositions in the system. The ferroelectric and piezoelectric properties have also been investigated in detail for this composition range and an attempt has been made to correlate the composition variation of these properties with their structural parameters. This chapter shows a systematic correlation between all physical quantities such as Curie point, piezoelectric coefficient, polarization and tetragonality as a function of composition.

Friction stir welding (FSW) of steel is often performed with an insert made of polycrystalline cubic boron nitride (PCBN). Specifically, MS80 is a grade of PCBN made by Smith MegaDiamond that has been optimized for the FSW process. The PCBN insert is attached to a tungsten carbide (WC) shank by a compression fitting. However, FSW tools manufactured by this method inevitably fail by fracture in the PCBN. Permanently bonding PCBN to WC would likely solve the fracturing problem and increase the life of PCBN FSW tools to be economically viable. Partial transient liquid phase (PTLP) bonding, a process used to join ceramics with thin metallic interlayers, was proposed as a method to permanently bond PCBN to WC. PTLP bonding is often performed using three layers of pure elements. On heating, the two thin outer interlayers melt and bond to the ceramics. Concurrently, these liquid layers diffuse into the thicker refractory core until solidification has occurred isothermally. A procedure was developed to reduce the number of possible three-layer PTLP bonding setups to a small set of ideal setups using logical filters. Steps in this filtering method include a database of all existing binary systems, sessile drop testing of 20 elements, and a routine that calculates maximum interlayer thicknesses. Results of sessile drop testing showed that the PCBN grade required for this research could only be bonded with an alloy of Ti, Cu, Mg, and Sb. Two PTLP bond setups were tested using this special coating on the PCBN, but a successful bond could not be achieved. However, a PTLP bond of WC to WC was successful and proved the usefulness of the filtering procedure for determining PTLP bond setups. This filtering procedure is then set forth in generalized terms that can be used to PTLP bond any material. Also, recommendations for future research to bond this grade of PCBN, or some other grade, to WC are presented.

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This master´s project deals with design of an office building nearly zero energy standard. My master´s project consists of three parts. In the first one I work on technical design of the office building. It is a three-storey building with partial basement. Vertical load-bearing system is partially made from monolithic concrete walls and partially from clay blocks walls. The horizontal load-bearing structures are made of monolithic concrete slab. All roofs are designed as flat roofs. In second part I design all technical equipment in this building. In the last part I compare three types of roof, photovoltaic power plants and evaluate their environmental impact. First type of PV power plant is made by monocrystalline solar cell, second one by polycrystalline solar cell and last one by monocrystalline solar cell with battery system. Environmental impact of these systems is evaluated in Open LCA software. All structures comply with the valid standards and regulations.

Aluminiumschichten werden durch Kaltgasspritzen auf fünf verschiedene poly- und monokristalline keramische Werkstoffe (Al2O3 , AlN, SiC, Si3N4 , MgF2 ) appliziert. Dabei erfolgt eine Variation der Substrattemperatur und der Partikelgröße. Ausgewählte Proben werden einer nachfolgenden Wärmebehandlung unterzogen. Die im Fokus der Arbeit stehende Erforschung der an der Grenzfläche zwischen Aluminium und Keramik wirkenden Haftmechanismen erfolgt sowohl mithilfe einer mechanischen Charakterisierung (Stirnzugversuche) als auch durch verschiedene mikroskopische, spektroskopische und hochauflösende Methoden. Die Bewertung der Untersuchungsergebnisse zeigt, dass im Allgemeinen ein Anstieg der Haftzugfestigkeit mit steigender Substrat- und Wärmebehandlungstemperatur sowie mit zunehmender thermischer Effusivität des Substratwerkstoffs zu verzeichnen ist. Eine vergleichbare Auswirkung hat innerhalb bestimmter Grenzen die Zunahme der Partikelgröße. Mit der Heteroepitaxie wird neben der mechanischen Verklammerung ein weiterer wichtiger Haftmechanismus kaltgasgespritzter metallischer Schichten auf keramischen Substraten identifiziert. Die Ausbildung von quasiadiabatischen Scherbändern und statische Rekristallisationsprozesse wirken dabei als wichtige begleitende Mechanismen. Als Nachweis für heteroepitaktisches Wachstum ist die Existenz von (annähernd) parallelen, senkrecht oder geneigt zur Grenzfläche stehenden Ebenenpaaren, die eine geringe Gitterfehlanpassung aufweisen, zu werten. Der Vergleich mit PVD-Schichten zeigt, dass in Bezug auf die Orientierung von Gitterebenen verschiedene Mechanismen der Heteroepitaxie existieren, die von der atomaren Mobilität des Beschichtungswerkstoffs bestimmt werden.

Aluminiumschichten werden durch Kaltgasspritzen auf fünf verschiedene poly- und monokristalline keramische Werkstoffe (Al2O3 , AlN, SiC, Si3N4 , MgF2 ) appliziert. Dabei erfolgt eine Variation der Substrattemperatur und der Partikelgröße. Ausgewählte Proben werden einer nachfolgenden Wärmebehandlung unterzogen. Die im Fokus der Arbeit stehende Erforschung der an der Grenzfläche zwischen Aluminium und Keramik wirkenden Haftmechanismen erfolgt sowohl mithilfe einer mechanischen Charakterisierung (Stirnzugversuche) als auch durch verschiedene mikroskopische, spektroskopische und hochauflösende Methoden. Die Bewertung der Untersuchungsergebnisse zeigt, dass im Allgemeinen ein Anstieg der Haftzugfestigkeit mit steigender Substrat- und Wärmebehandlungstemperatur sowie mit zunehmender thermischer Effusivität des Substratwerkstoffs zu verzeichnen ist. Eine vergleichbare Auswirkung hat innerhalb bestimmter Grenzen die Zunahme der Partikelgröße. Mit der Heteroepitaxie wird neben der mechanischen Verklammerung ein weiterer wichtiger Haftmechanismus kaltgasgespritzter metallischer Schichten auf keramischen Substraten identifiziert. Die Ausbildung von quasiadiabatischen Scherbändern und statische Rekristallisationsprozesse wirken dabei als wichtige begleitende Mechanismen. Als Nachweis für heteroepitaktisches Wachstum ist die Existenz von (annähernd) parallelen, senkrecht oder geneigt zur Grenzfläche stehenden Ebenenpaaren, die eine geringe Gitterfehlanpassung aufweisen, zu werten. Der Vergleich mit PVD-Schichten zeigt, dass in Bezug auf die Orientierung von Gitterebenen verschiedene Mechanismen der Heteroepitaxie existieren, die von der atomaren Mobilität des Beschichtungswerkstoffs bestimmt werden.